Overview
- Authors:
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Frank C. Hoppensteadt
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College of Natural Science, Michigan State University, East Lansing, USA
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Charles S. Peskin
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Courant Institute of Mathematical Sciences, New York University, New York, USA
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Table of contents (11 chapters)
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 1-3
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 5-43
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 45-66
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 67-81
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 83-104
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 105-145
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 147-164
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 165-183
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 185-198
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 199-209
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- Frank C. Hoppensteadt, Charles S. Peskin
Pages 211-239
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Back Matter
Pages 241-252
About this book
The aim of this book is to introduce the subject of mathematical modeling in the life sciences. It is intended for students of mathematics, the physical sciences, and engineering who are curious about biology. Additionally, it will be useful to students of the life sciences and medicine who are unsatisfied with mere description and who seek an understanding of biological mechanism and dynamics through the use of mathematics. The book will be particularly useful to premedical students, because it will introduce them not only to a collection of mathematical methods but also to an assortment of phenomena involving genetics, epidemics, and the physiology of the heart, lung, and kidney. Because of its introductory character, mathematical prerequisites are kept to a minimum; they involve only what is usually covered in the first semester of a calculus sequence. The authors have drawn on their extensive experience as modelers to select examples which are simple enough to be understood at this elementary level and yet realistic enough to capture the essence of significant biological phenomena drawn from the areas of population dynamics and physiology. Because the models presented are realistic, the book can serve not only as an introduction to mathematical methods but also as a mathematical introduction to the biological material itself. For the student, who enjoys mathematics, such an introduction will be far more stimulating and satisfying than the purely descriptive approach that is traditional in the biological sciences.
Reviews
"This is an introductory book on mathematical modeling in the bio-sciences. It is written for mathematicians as well as for life scientists. Simple models are presented, and previous knowledge of biology is not required for understanding the book. All the essential biological background is given in the text, while basic mathematical knowledge is sufficient for reading a large part of the book.
In each chapter, the material is organized in increasing order of complexity followed by exercises. Some of the exercises deal with the material of that chapter, while others are projects that extend the preceding material. Many chapters contain sections with suggestions for computing projects. Simulations are done in Matlab and computer code is included in the text...." (Miljenko Marusic, Mathematical Reviews)
Authors and Affiliations
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College of Natural Science, Michigan State University, East Lansing, USA
Frank C. Hoppensteadt
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Courant Institute of Mathematical Sciences, New York University, New York, USA
Charles S. Peskin
